77168196 has 144 divisors (see below), whose sum is σ = 239016960. Its totient is φ = 20502720.

The previous prime is 77168167. The next prime is 77168209. The reversal of 77168196 is 69186177.

77168196 is nontrivially palindromic in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339835 + ... + 340061.

It is an arithmetic number, because the mean of its divisors is an integer number (1659840).

Almost surely, 2^77168196 is an apocalyptic number.

77168196 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77168196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119508480).

77168196 is an abundant number, since it is smaller than the sum of its proper divisors (161848764).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77168196 is a wasteful number, since it uses less digits than its factorization.

77168196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 329 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 77168196 is about 8784.5430160026. The cubic root of 77168196 is about 425.7416273640.

The spelling of 77168196 in words is "seventy-seven million, one hundred sixty-eight thousand, one hundred ninety-six".